An Introduction to Proofs
A proof is a convincing that something is true in mathematics proofs start with things that are agreed on.
Then logic is used to reach a conclusion.
ex. 5x+4=24 Given
5x=20 Subtraction Property of Equality
x=4 Division Property of Equality
Converse: formed by switching the hypothesis and conclusion.
"if then" statements are called conditionals Example: If Ab=32cm and Cd=32cm, then Ab and Cd are congruent Generic: If hypothesis, then conclusion. Notation: If p, then q or p -> 8. Inverse: when you negate the hypothesis and conclusion of a conditional statement. Contrapositive: when you negate the hypothesis and conclusion of the converse.
A proof is a convincing that something is true in mathematics proofs start with things that are agreed on.
Then logic is used to reach a conclusion.
ex. 5x+4=24 Given
5x=20 Subtraction Property of Equality
x=4 Division Property of Equality
Converse: formed by switching the hypothesis and conclusion.
"if then" statements are called conditionals
Example: If Ab=32cm and Cd=32cm, then Ab and Cd are congruent
Generic: If hypothesis, then conclusion.
Notation: If p, then q or p -> 8.
Inverse: when you negate the hypothesis and conclusion of a conditional statement.
Contrapositive: when you negate the hypothesis and conclusion of the converse.